Computational fluid dynamic (CFD) simulations of a centrifugal pump have been performed using commercial CFD tools which are each based on finite volume (FVM) and finite element method (FEM). In this work, ANSYS FLUENT and midas NFX CFD were used for FVM and FEM CFD solver, respectively. A multiple reference frame was considered to model rotating and stationary parts for pseudo-transient simulations and a sliding mesh was used for a full time-transient calculations. Two different mesh systems were generated, which of each was appropriate for FVM and FEM to have converged solutions. The general characteristics of fluid flow within the centrifugal pump were compared between FLUENT and NFX and the difference of pressure change between inlet and outlet surface calculated by the two CFD tools were also investigated. The differences of pressure increases for the various flow rates between FVM and FEM pseudo-transient simulation were within 2%, which reflected that the flow behavior such as pressure and velocity within the pump was predicted similarly each other. It was also found that the results obtained from FLUENT were more sensitive to including time consideration than those from NFX.